Convex Cocompactness and Stability in Mapping Class Groups
نویسندگان
چکیده
We introduce a strong notion of quasiconvexity in finitely generated groups, which we call stability. Stability agrees with quasiconvexity in hyperbolic groups and is preserved under quasi-isometry for finitely generated groups. We show that the stable subgroups of mapping class groups are precisely the convex cocompact subgroups. This generalizes a well-known result of Behrstock [Beh06] and is related to questions asked by Farb-Mosher [FM02] and Farb [Far06].
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تاریخ انتشار 2014